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379269000 = 233353111277
BaseRepresentation
bin10110100110110…
…010111110001000
3222102122212021000
4112212302332020
51234043102000
6101345015000
712253506345
oct2646627610
9872585230
10379269000
111850a6460
12a7024460
1360763536
14385297cc
152346b000
hex169b2f88

379269000 has 256 divisors, whose sum is σ = 1435449600. Its totient is φ = 91872000.

The previous prime is 379268999. The next prime is 379269017. The reversal of 379269000 is 962973.

It is a super-2 number, since 2×3792690002 = 287689948722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296362 + ... + 297638.

It is an arithmetic number, because the mean of its divisors is an integer number (5607225).

Almost surely, 2379269000 is an apocalyptic number.

379269000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717724800).

379269000 is an abundant number, since it is smaller than the sum of its proper divisors (1056180600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379269000 is a wasteful number, since it uses less digits than its factorization.

379269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 379269000 is about 19474.8299093984. The cubic root of 379269000 is about 723.8508946833.

The spelling of 379269000 in words is "three hundred seventy-nine million, two hundred sixty-nine thousand".